2742984000 has 672 divisors, whose sum is σ = 10903890816. Its totient is φ = 680140800.

The previous prime is 2742983987. The next prime is 2742984031. The reversal of 2742984000 is 4892472.

2742984000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2742984000² = 15047922448512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33047959 + ... + 33048041.

It is an arithmetic number, because the mean of its divisors is an integer number (16226028).

Almost surely, 2^2742984000 is an apocalyptic number.

2742984000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451945408).

2742984000 is an abundant number, since it is smaller than the sum of its proper divisors (8160906816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2742984000 is an equidigital number, since it uses as much as digits as its factorization.

2742984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2742984000 is about 52373.5047519259. The cubic root of 2742984000 is about 1399.8271895542.

The spelling of 2742984000 in words is "two billion, seven hundred forty-two million, nine hundred eighty-four thousand".